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Finding the Fourth Proportional to 15,698.56, 21,681.52 and 10,654

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Solution

The fourth proportional to 15,698.56, 21,681.52 and 10,654 is: 14,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.56 : 21,681.52 = 10,654 : x
  2. Step 2: Convert to fraction form
    15,698.56/21,681.52 = 10,654/x
  3. Step 3: Cross multiply
    15,698.56x = 21,681.52 × 10,654
  4. Step 4: Simplify right side
    15,698.56x = 230,994,914.08
  5. Step 5: Solve for x
    x = 230,994,914.08/15,698.56
  6. Step 6: Final answer
    x = 14,714.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.